Question

Given each expression in exponential form, rewrite the expression in expanded form and simplify using properties of exponents.
Select options below
4
6
written in expanded form is
Choose...
.
4
5
written in expanded form is
Choose...
.
That makes
4
6
4
5
equivalent to
Choose...
.

Answer 1

Assuming the operation is division (4^6 ÷ 4^5):

- 4^6 expanded: 4·4·4·4·4·4
- 4^5 expanded: 4·4·4·4·4

Dividing cancels five 4’s, leaving 4. Equivalently, 4^(6−5) = 4^1 = 4.

(If instead the operation were multiplication, 4^6·4^5 = 4^(6+5) = 4^11.)